1. MATH 012 Midterm Exam
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This exam covers Chapter 0, Sections 1.1-1.5. 1.7-1.10, 10.6, Chapter 2,
Sections 3.1- 3.2, Chapter 5
• Please only use the Answer Sheet either to type your work or if you
prefer to write your work and scan it. Be sure to include your name
in the document.
• If you have any questions, please contact me by e-mail
(Jules.Kouatchou@faculty.umuc.edu) with MATH 012 in the
subject heading. Problem 1: Compute. Write your answer using
scientific notation.
1.3×104
. 5.2×109 (A) 0.25×10−5
(B) )
4.0×10−6
(C) 0.4×10−7
(D) 2.5×10−6
Problem 2: Find the
measures of the angles of a triangle if the measure of one angle is
twice the measure of a second angle, and the third angle measures
three times the second angle decreased by 12. (A) 60, 30, 78 (B)
68, 34, 90 (C) 64, 32, 84 (D) 62, 31, 81 Problem 3: Find the
equation of the line with slope -6 and containing the point (0,-5).
(A) y = -6x+5 (B) y = -6x-5
Problem 4: Simplify the expression: (A) -11/14 (B) 11/14

2. (C) y = -5x+6 (D) y = -5x - 6
𝟕+𝟒 𝟐
−𝟑𝟐÷𝟖∙𝟑 [𝟓+𝟐(𝟑 𝟐−𝟓)]−|𝟐 𝟑−𝟓| 𝟑
(C) 13/12 (D) -13/12
Problem 5: Jules is 10 years older than Juliane. In six years, the sum of
their ages will be 50. How old is Juliane now? (A) 30 (B) 20 (C) 14 (D)
24
Problem 6: Evaluate the expression 𝑝2
+ ( 𝑞 − 𝑟)(7 − 𝑝) using p = -1, q =
-2 and r = 5. (A) -43 (B) -55 (C) -41 (D) -57
Problem 7: The amount of sales tax paid on a product is directly
proportional to its purchase price. The sale tax of a notebook that sells
for $260 is $17.5. What is the sales tax on a calculator that sells for
$21? (A) $2.1 (B) $1.51 (C) $1.81 (D) $1.41
3𝑥5 𝑦−8 𝑧−3 4 Problem 8: Simplify the expression. Use positive exponent
only: ( −1 𝑧−2
)
81𝑦32 𝑧4 3𝑥24 81𝑥24 𝑧4 81𝑥24 (A)
𝑥24
(B)
𝑦32 𝑧4
(C)
𝑦32
(D)
𝑦32 𝑧4
Problem 9: Solve the equation:
𝑥−5
+
1
= 2𝑥 −
𝑥−3
. 228
(A) -11/19 (B) -19/11 (C) 11/19 (D) 19/11
Problem 10: The stopping distance d of a car after the brakes have been
applied varies directly as the square of the speed r. If a car traveling
60mph can stop in 200ft, how fast can a car travel and still stop in
72ft? (A) 32mph (B) 36mph (C) 28mph (D) 30mph
Problem 11: Find the slope of the line perpendicular to: 2x - 6y =
5. (A) 3 (B) -3 (C) -5/6 (D) 6/5

3. Problem 12: Solve the equation: 2.4(2𝑥 + 3) = −0.1(2𝑥 + 3). (A) -2/3
(B) 3/2 (C) -3/2 (D) 2/3
Problem 13: The zip codes of three locations are three consecutive even
integers. If twice the first integer is added to the third is 268,222, find
the second zip code. (A) 89408 (B) 89406 (D) 89410 (D) 89404
Problem 14: Jules would like to take his family to Europe in in 3 years.
The total cost of the trip is $3600. If Jules invest $3000 in a saving
account paying 5.6% interest, compounded quarterly, will he have
enough money in three years? (A) Yes (B) No (C) Cannot tell
Problem 15: Solve the inequality. Write your answer in interval
notation. 0 < 7 − 2𝑥 ≤ 10.
(A) [-3/2, 7/2) (B) (-7/2, 3/2] (C) (-7, 3] (D) [-3, 7)
Problem 16: Multiply: (9𝑥 − 5𝑦)(9𝑥 + 5𝑦). (A))9𝑥2
−5𝑦2
(B))81𝑥2
+45𝑥𝑦−25𝑦2
(C) 9𝑥2
+ 45𝑥𝑦 − 5𝑦2
(D) 81𝑥2
− 25𝑦2
Problem 17: Jules decides to invest $25,000 in an account paying an
annual percentage rate of 4.8%. Find the amount in the account after 5
years if the account is compounded monthly. (--A) $31,766 (B) $26,200
(C) $31,736 (D) $31,691
Problem 18: Write the slope-intercept equation of the line passing the
point (0,-2) and parallel to 3x – 2y = -4. (A) y=3x-2 (B) y=-(3/2)x-2
(C) y=(3/2)x-2 (D) y=-3x--2
Problem 19: Jules ordered an equipment in a store that is 90 miles
away. He decides to go pick it up. Find how long will it take Jules to
drive round-trip if he averages 50mph. (A) 3.8 hours (B) 3.5 hours (C)
3.4 hours (D) 3.6 hours
Problem 20 : Which of the following represents the graph of 5x + 3y =

4. 15?
(A)
(B)
(C)
(D)